2.04 ALGEBRA 2

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Teachers (list):Greg Gass
Textbook (title, publisher, copyright date):Algebra 2, Holt McDougal, 2011
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Obj #
 Unit
 Objective:
"The learner will . . ."
 Standard(s)
 No. of Days
 Vocabulary Terms
 Resources
 Student Learning Activities
 Assessment
1
 1
 review the relationships between the subsets of real numbers as well as reviewing the properties of real numbers.
 12.1.1a
12.1.1b
LA 12.4.1.a
LA 12.4.2.b
 2-4
 Real, irrational, rational, integer,natural, whole
 Holt Chapter 1
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2
 1
 use the properties of real numbers and the order of operation to evaluate and simplify algebraic expressions..
 12.1.2a
12.1.2b
12.1.3a
12.1.3d
12.3.3h
12.3.3j
LA 12.4.1.a
LA 12.4.2.b
 3-5
 base, power, reciprocal, variable, coefficient, like terms, reciprocal
 Holt Chapter 1
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3
 1
 use the properties of equalities to solve linear equalities and to rewrite formulas and equations.
 12.3.1a
12.3.1g
LA 12.4.1.a
LA 12.4.2.b
 2-4
 linear equations, solve for a variable,
 Holt Chapter 1
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4
 1
 use verbal models and problem solving strategies to solve problems.
 12.3.2b
LA 12.4.1.a
LA 12.4.2.b
 3-5
 linear equations, solve for a variable,
 Holt Chapter 1
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5
 1
 solve and graph linear inequalities and solve absolute value equations and inequalities.
 12.1.4a
12.1.4b
12.3.1a
12.3.2a,b
12.3.3g
LA 12.4.1.a
LA 12.4.2.b
 4-6
 absolute value, compound inequality, extraneous solution
 Holt Chapter 1
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14-24



6
 2
 represent functions and relations.
 12.3.1a
12.3.1b
12.3.1d
12.3.1e
12.3.1i
LA 12.4.1.a
LA 12.4.2.b
 1-3
 domain, range, function, relation, mapping, function notation, independent variable, dependent variable, parent function
 Holt Chapter www.classzone.com
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7
 2
 graph and write equations of lines.
 12.3.1c
12.3.1f
LA 12.4.1.a
LA 12.4.2.b
 2-4
 slope, rate of change, x-intercept, y-intercept, intercept form, point slope form, standard form, linear function,perpendicular, parallel
 Holt Chapter 2
Ti Calculators
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8
 2
 Model direct variation
 12.3.1f
LA 12.4.1.a
LA 12.4.2.b
 2-4
 constant of variation, rate of change, ratio
 Holt Chapter 2
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9
 2
 Draw scatter plots and best fitting lines
1-3
 scatter plot, correlation, correlation coefficient, best fitting line
 Holt Chapter 2
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10
 2
 Use absolute value functions and transformations
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 absolute value function, transformation, translation, reflection, vertex
 Holt Chapter 2
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11
 2
 Graph linear equalities and inequalities in two variables
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 3-5
 graph, solution, half-plane, region
 Holt Chapter 2
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2-4



12
 3.1
 Solve systems of linear equations by graphing
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 system of linear equations, solution, consistent, inconsistent, independent, dependent
 Holt Chapter 3
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13
 3.2
 Solve systems of linear equations algebraically
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 substitution method, elimination method, Linear programming objective function, feasible region, constraints
 Holt Chapter 3
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14
 3.3
 Graph and solve systems of linear inequatities
 12.3.1a-g
LA 12.4.1.a
LA 12.4.2.b
 2-4
 system of linear inequalities, solution, graph, intersection,
 Holt Chapter 3
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15
 3.4
 Graph linear equations in three variables
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 linear equation in three variables, system of linear equations in three variables, solution, ordered triple
 Holt Chapter 3
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16
 3.5
 Solve systems of linear equations in three variables
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 linear equation in three variables, system of linear equations in three variables, solution, ordered triple
 Holt Chapter 3
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17
 3.6
 Perform basic matrix operations
 12.1.3
12.1.2
12.3.1
13.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 matrix, dimensions, elements, equal matrices, scalar, scalar multiplication
 Holt Chapter 3
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18
 3.7
 Evaluate Determinants and apply Cramer's Rule to solve linear systems.
 12.1.3
12.1.2
12.3.1
13.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 determinant, Cramer's rule, coefficient matrix.
 Holt Chapter 3
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20
 3.8
 Use inverse matrices to solve linear systems
 12.1.3
12.1.2
12.3.1
13.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 identity matrix, inverse matrix, matrix of variables, matrix of constants,
 Holt Chapter 3
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21
 4.1
 Graph Quadratic Functions in Standard form.
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 1-3
 standard form(y=ax^2+bx+c), parabola, axis of symmetry, vertex, maximum, minimum
 Holt Chapter 4
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22
 4.2
 Graph Quadratic Functions in Vertex or Intercept form.
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 Vertex form(y=a(x-h)^2+k, Intercept form(y=a(x-p)(x-q)
 Holt Chapter 4
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23
 4.3
 Factor and solve quadratic equations in where a=1.
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 monomial, binomial, trinomial, root, zero,factors, terms
 Holt Chapter 4
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24
 4.4
 Factor and solve quadratic equations where a≠1.
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-5
 monomial, common factor, leading coefficient,
 Holt Chapter 4
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25
 4.5
 Solve quadratic equations by taking square roots.
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 square root, radical, radicand, rationalizing the denominator, conjugates
 Holt Chapter 4
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26
 4.6
 Perform operations with complex numbers.
 12.1.1
12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 Imaginary unit(i), complex number, imaginary number, real number, complex conjugate, complex plane, absolute value of a complex number
 Holt Chapter 4
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27
 4.7
 Solve quadratic equations by completing the square.
 12.1.1
12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 complete the square
 Holt Chapter 4
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28
 4.8
 Solve quadratic equations using the quadratic formula.
 12.1.1
12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 quadratic formula, discriminant,
 Holt Chapter 4
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29
 4.9
 Graph and solve quadratic inequalities.
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 quadratic inequality in two variables, quadratic inequality in one variable
 Holt Chapter 4
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30
 4.10
 Write quadratic functions and models.
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 best fitting, quadratic model, scatter plot,
 Holt Chapter 4
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31
 5.1
 use properties of exponents.
 12.1.3
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-2
 scientific notation, base, exponent, monomial, binomial, trinomial
 Holt Chapter 5
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32
 5.2
 evaluate and graph polynomial functions.
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 cubic, quartic, polynomial, polynomial function, synthetic substitution, end behavior, viewing window
 Holt Chapter 5
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33
 5.3
 add subtract, and multiply polynomials.
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 like terms
 Holt Chapter 5
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34
 5.4
 factor and solve polynomial equations.
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 factored completely, factor by grouping, quadratic form
 Holt Chapter 5
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35
 5.5
 apply the remainder and factor theorems.
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 quadratic long division, synthetic division
 Holt Chapter 5
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36
 5.6
 find rational zeros.
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 zero of a function, constant term, leading coefficient
 Holt Chapter 5
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37
 5.7
 apply the fundamental theorem of Algebra.
 12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 repeated solution, irrational conjugates, complex conjugates, zeroes
 Holt Chapter 5
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38
 5.8
 analyze graphs of polynomial functions.
 12.1.1
12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 local maximum, local minimum
 Holt Chapter 5
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39
 5.9
 write polynomial functions and models.
 12.1.1
12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 finite differences
 Holt Chapter 5
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40
 6.1
 evaluate nth roots and use rational exponents
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 index, nth root
 Holt Chapter 6
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41
 6.2
 apply properties of rational exponents
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 like radicals, properties of exponents
 Holt Chapter 6
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42
 6.3
 perform function operations and compositions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 power function
composition
 Holt Chapter 6
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43
 6.4
 use inverse functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 inverse function
inverse relation
 Holt Chapter 6
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44
 6.5
 graph square root and cube root functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 3-5
 radical function,
parent function
 Holt Chapter 6
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45
 6.6
 solve radical equations
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 3-5
 radical equation,
extraneous roots
 Holt Chapter 6
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46
 7.1
 graph exponential growth functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 exponential function,
exponential growth fuction,
growth factor,
asymptote
 Holt Chapter 7
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47
 7.2
 graph exponential decay functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 exponential decay function,
decay function
 Holt Chapter 7
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48
 7.3
 use functions involving e
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 Natural base e
 Holt Chapter 7
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49
 7.4
 evaluate logarithms and graph logarithmic functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 logarithm of y with base b,
common logarithm,
natural logarithm
 Holt Chapter 7
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50
 7.5
 apply properties of logarithms
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 base
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51
 7-6
 solve exponential and logarithmic equations
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-5
 exponential equation,
logarithmic equation,
extraneous solution
 Holt Chapter 7
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52
 7.6a
 investigate calculator solutions of logarithmic and exponential functions and equations.
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 power function,
exponential function
 Holt Chapter 7
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53
 7.7
 write and apply exponential and power functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 power function,
exponential function
 Holt Chapter 7
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54
 8.1
 model inverse and direct variation
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 inverse variation,
constant of variation,
joint variation
 Holt Chapter 8
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55
 8.2
 graph simple rational functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 rational function,
domain,
range,
asymptote
 Holt Chapter 8
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56
 8.3
 graph general rational functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 end behavior,
asymptote,
ratinal function
 Holt Chapter 8
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57
 8.4
 multiple and divide rational functions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 simplified form,
reciprocal
 Holt Chapter 8
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58
 8.5
 add and subtract rational expressions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 Complex fraction
 Holt Chapter 8
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59
 8.6
 solve rational expressions
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 cross multiplying,
extraneous solution
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60
 8.6a
 solve rational inequalities
 12.1.1
12.1.2
12.1.3
12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 cross multiplying,
extraneous solution
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61
 9.1
 apply the distance and midpoint formula
 12.2.2
LA 12.4.1.a
LA 12.4.2.b
 1-2
 distance formula,
midpoint formula
 Holt Chapter 9
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62
 9.2
 graph and write equations of parabolas
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 1-2
 focus, directrix,
parabola, vertex
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63
 9.3
 graph and write equations of circles
 12.2.1
12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 circle,
center, radius
 Holt Chapter 9
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64
 9.4
 graph and write equations of ellipses
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 ellipse, foci, vertices,
major axis, center,
co-vertices, minor axis
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65
 9.5
 graph and write equations of hyperbolas
 12.3.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 hyperbola, foci, vertices,
transverse axis, center
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66
 9.6
 translate and classify conic sections
 12.3.1
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 conic sections, discriminalt
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67
 9.7
 solve quadratic systems
 12.3.1
12.3.2
12.3.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 quadratic system
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68
 10.1
 apply the counting principle and use permutations
 12.4.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 permutation,
factorial
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69
 10.2
 use combinations and the binomial theorem
 12.4.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 combination,
pascal's triangle,
binomial theorm
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70
 10.3
 define and use probability
 12.4.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 probability,
theoretical probability,
odds,
experimental probability,
geometric probability
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71
 10.4
 find probabilities of disjoint and overlapping events
 12.4.3
LA 12.4.1.a
LA 12.4.2.b
 1-3
 compound event,
overlapping events,
disjoint or mutually exclusive events
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72
 10.5
 find probabilities of independent and dependent events
 12.4.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 independent events,
dependent events,
condidtional probability
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73
 10.6
 construct and interpret binomial distributions
 12.4.3
LA 12.4.1.a
LA 12.4.2.b
 2-4
 random variable,
probability distribution,
binomial distributin, binomial experiment,
symmetric skewed
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74
 11.1
 find measures of central tendency
 12.4.1
12.4.2
LA 12.4.1.a
LA 12.4.2.b
 1-3
 statistic, central tendency,
dispersion,
standard deviation,
outlier
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75
 11.2
 apply transformations to data
 12.4.1
12.4.2
LA 12.4.1.a
LA 12.4.2.b
 1-3
 mean, median, mode,
range, standard deviation
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76
 11.3
 use normal distributions
 12.4.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 normal distribution,
normal curve,
standard normal distribution,
z-score
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77
 11.4
 draw conclusions from samples
 12.4.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 population, sample,
unbiased sample,
biased sample,
margin of error
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78
 11.5
 Choose the best model for two variable data
 12.4.1
LA 12.4.1.a
LA 12.4.2.b
 2-4
 linear function, quadratic function, cubic model, exponential function, power function
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